textbook-theory · English
Difference Equations to Differential Equations — Section 4.6: Improper Integrals
Section 4.6 of Dan Sloughter's open calculus textbook 'Difference Equations to Differential Equations' covers the theory of improper integrals, extending the definite integral to unbounded intervals and functions with infinite discontinuities. The section develops formal definitions, convergence and divergence criteria, comparison propositions (including absolute convergence), and the Cauchy principal value, illustrated throughout with worked examples and accompanied by a problem set.
improper integralsconvergence and divergencecomparison testsinfinite discontinuities